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3 years ago

4(x-6)=x+30 what is the answer

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

4 0

Answer:

18 is your answer

Step-by-step explanation:

First, distribute 4 to all terms within the parenthesis.

4(x - 6) = 4x - 24

4x - 24 = x + 30

Next, isolate the x. Add 24 to both sides, and subtract x from both sides

4x (-x) - 24 (+24) = x (-x) + 30 (+24)

4x - x = 30 + 24

Simplify. Combine like terms

3x = 54

Isolate the x. Divide 3 from both sides

(3x)/3 = (54)/3

x = 54/3

x = 18

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~Senpai

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Which table represents the graph of a logarithmic function in the form y=log3x when b>1?

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Answer:

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Step-by-step explanation:

Explanation :-

Given logarithmic function $y = log_{b} (x)$ if b >1

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we will apply logarithmic formula

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ii)

put x = $\frac{1}{4}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{4} )$

$y = log_{2} (2^{-2} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2$

y = -2

iii)

put x = $\frac{1}{2}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{2} )$

$y = log_{2} (2^{-1} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1$

y = -1

iv)

put x = 1 given b > 1 so we can choose b = 2

$y = log_{2} (1 )$ = 0

y = 0

v)

put x = $2$ given b > 1 so we can choose b = 2

$y = log_{2} (2 )$

y = 1

Final answer:-

The satisfied table of the given function

x 1/8 1/4 1/2 1 2

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